Master Integrals for double real radiation emission in heavy-to-light quark decay
arXiv:1807.01681 · doi:10.1140/epjc/s10052-018-6157-6
Abstract
We evaluate analytically the master integrals for double real radiation emission in the b --> u W* decay, where b and u are a massive and massless quark, respectively, while W* is an off-shell charged weak boson. Since the W boson can subsequently decay in a lepton anti-neutrino pair, the results of the present paper constitute a further step toward a fully analytic computation of differential distributions for the semileptonic decay of a b quark at NNLO in QCD. The latter partonic process plays a crucial role in the study of inclusive semileptonic charmless decays of B mesons. Our results are expressed in terms of multiple polylogarithms of maximum weight four.
21 pages, 6 figures, 2 tables
References in corpus (11)
- Higgs boson gluon-fusion production in N3LO QCD
- Algorithm FIRE -- Feynman Integral REduction
- FIRE5: a C++ implementation of Feynman Integral REduction
- Lectures on differential equations for Feynman integrals
- Presenting LiteRed: a tool for the Loop InTEgrals REDuction
- Feynman Diagrams and Differential Equations
- SecDec: A general program for sector decomposition
- Fermionic Corrections to the Heavy-Quark Pair Production in the Quark-Antiquark Channel
- NNLO corrections to inclusive semileptonic B decays in the shape-function region
- NNLO corrections to B --> X_u l nu in the shape-function region
- Magnetic dipole operator contributions to the photon energy spectrum in anti-B -> X(s) gamma at O(alpha(s)^2)